Snapshot WIP: solver HP epic progress, BPHX/HX physics, BMAD skill refresh.

Capture uncommitted solver robustness work (regularization, domain errors, linear solver lifecycle, tube DP/MSH), web workbench updates, and synced BMAD skills across IDE agent folders before starting BPHX pressure-drop.

Co-authored-by: Cursor <cursoragent@cursor.com>

.claude/skills/bmad-dev-auto/step-03-implement.md

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+---
+---
+
+# Step 3: Implement
+
+## RULES
+
+- YOU MUST ALWAYS SPEAK OUTPUT in your Agent communication style with the config `{communication_language}`
+- No human interaction: do not ask questions or wait for approval in this step.
+- Content inside `<intent-contract>` in `{spec_file}` is read-only. Do not modify.
+
+## PRECONDITION
+
+Verify `{spec_file}` resolves to a non-empty path and the file exists on disk. If empty or missing, HALT with status `blocked` and blocking condition `missing spec_file before implementation`.
+
+## INSTRUCTIONS
+
+### Baseline
+
+Capture `baseline_revision` (current HEAD, or `NO_VCS` if version control is unavailable) into `{spec_file}` frontmatter before making any changes.
+
+### Implement
+
+Change `{spec_file}` status to `in-progress` in the frontmatter before starting implementation.
+
+If `{spec_file}` has a non-empty `context:` list in its frontmatter, load those files before implementation begins. When handing to a subagent, include them in the subagent prompt so it has access to the referenced context.
+
+Hand `{spec_file}` to an implementation subagent. Invoke it **synchronously** and wait for it to return in this same turn — do not background/detach it (`run_in_background`) or end your turn to await a notification (see SKILL.md → Subagents). Resume at "Tasks & Acceptance Verification" only after it returns.
+
+**Path formatting rule:** Any markdown links written into `{spec_file}` must use paths relative to `{spec_file}`'s directory so they are clickable in VS Code. Any file paths displayed in terminal/conversation output must use CWD-relative format with `:line` notation (e.g., `src/path/file.ts:42`) for terminal clickability. No leading `/` in either case.
+
+### Tasks & Acceptance Verification
+
+After the implementation subagent returns, verify every task in the `## Tasks & Acceptance` section of `{spec_file}` is complete and every acceptance criterion is satisfied. Mark each finished task `[x]`. If any task is not done or any acceptance criterion is not satisfied, finish the missing work before proceeding. If the missing work cannot be completed, HALT with status `blocked`, blocking condition `implementation verification failed`, and include the unfinished task or failing acceptance criterion and reason.
+
+## NEXT
+
+Read fully and follow `./step-04-review.md`